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Finding the Fourth Proportional to 1,272.01, 1,909.25 and 614.35

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Solution

The fourth proportional to 1,272.01, 1,909.25 and 614.35 is: 922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.01 : 1,909.25 = 614.35 : x
  2. Step 2: Convert to fraction form
    1,272.01/1,909.25 = 614.35/x
  3. Step 3: Cross multiply
    1,272.01x = 1,909.25 × 614.35
  4. Step 4: Simplify right side
    1,272.01x = 1,172,935.12
  5. Step 5: Solve for x
    x = 1,172,935.12/1,272.01
  6. Step 6: Final answer
    x = 922.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.